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Analyticity in theta on the lattice and the large volume limit of the topological susceptibility

B. Alles·M. D'Elia·A. Di Giacomo
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Abstract

Non-analyticity of QCD with a θterm at θ=0 may signal a spontaneous breaking of both parity and time reversal invariance. We address this issue by investigating the large volume limit of the topological susceptibility $χ$ in pure SU(3) gauge theory. We obtain an upper bound for the symmetry breaking order parameter and, as a byproduct, the value χ=(173.4(+/- 0.5)(+/- 1.2)(+1.1 / -0.2) MeV)^4 at β=6 (a approx= 0.1 fermi). The errors are the statistical error from our data, the one derived from the value used for Λ_L and an estimate of the systematic error respectively.

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B. Alles, M. D'Elia, A. Di Giacomo. 2005-02-04. Analyticity in theta on the lattice and the large volume limit of the topological susceptibility. https://doi.org/10.1103/physrevd.71.034503

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